I am having trouble with these problems, so I came up with a way to memorize the formula. The instructors can post if there is anything wrong with my logic.

This is the formula from Manhattan GMAT Number Properties Guide:

x=QN+R

x = Dividend

Q = Quotient

N = Divisor

R = Remainder

I changed the symbols in the formula to this:

T=QB+R

This I can remember with the phrase 'a touchdown equals the quarterback plus the receiver'.

T = Top of the fraction

Q = Quotient

B = Bottom of the fraction

R = Remainder

The Question:

If T divided by B equals 8.12 what is a possible remainder?

2

8

9

26

44

Set up your equation T=QB+R

T=800B+.12

Now make .12 an integer

100T=800B+12

Simplify by dividing by 4

25T=200B+3

Now the Remainder is (3), so any remainder of T/B must be a multiple of 3

This makes my answer to the problem C - 9